Dumb questions about web push: would one see a gradual uptick in resources consumed by webworkers as they accumulate notifications from different sites? Would t

Dumb questions about web push: would one see a gradual uptick in resources consumed by webworkers as they accumulate notifications from different sites? Would they keep the antenna/modem on a phone awake constantly? The big advantage of the current centralized model is that it's easier to coalesce notifications and the OS only has to maintain a single connection. Would hate to see my battery take a hit as a result of a move away from that model.